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Show that the regression line, given by the equation always passes through the point (X, Y). = Bo + B1x y =

Show that the regression line, given by the equation always passes through the point (X, Y). = Bo + B1x y =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Hint You may find it useful to first get an relationship for and then show that E (Y - B - BX)X=0. i=1 Using this straightforward derivation you can write down the second likelihood equation in terms of and then solve it. 72 i=1 (Yi - Bo - B₁X;) (X; - X) 2. Show that the regression line, given by the equation y = Ba tôi always passes through the point (X, Y).
Transcribed Image Text:Hint You may find it useful to first get an relationship for and then show that E (Y - B - BX)X=0. i=1 Using this straightforward derivation you can write down the second likelihood equation in terms of and then solve it. 72 i=1 (Yi - Bo - B₁X;) (X; - X) 2. Show that the regression line, given by the equation y = Ba tôi always passes through the point (X, Y).
In regression analysis with (X₁, X₂,..., X₂) and (Y₁, Y₂, …, Y) such that Y₁ = Bo + B₁X₁ + €; where id N (0,0²) Let 3 and 3₁ be the maximum likelihood estimators for 30, 3₁. €1, €2,..., En
Transcribed Image Text:In regression analysis with (X₁, X₂,..., X₂) and (Y₁, Y₂, …, Y) such that Y₁ = Bo + B₁X₁ + €; where id N (0,0²) Let 3 and 3₁ be the maximum likelihood estimators for 30, 3₁. €1, €2,..., En
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